Question

Tabela:
30° >>>> sen: 1/2 | cos:√3/2 | Tg: √3/3
60° >>>> sen: √3/2 | cos: 1/2 | Tg: √3

Answer 1

Resposta:

Explicação passo-a-passo:

Trigonometria

Seno= Cateto oposto / Hipotenusa

Cosseno= Cateto Adjacente / Hipotenusa

Tangente= Catoto Oposto / Cateto Adjacente

a)

Tangente 60°=X/4

Tan 60°=V3

V3.4=X

X=4V3

Sen 30°=X / Y

Sen 30°=1/2

1/2.Y=X

Y=X/ 1/2

Y=4V3/ 1 /2

Y=8V3

b)

Sen 30°=10/X

X=10/Sen 30°

X=10/ 1/2

X=20

Cos 30°=Y/20

Y=20. Cos 30°

Y=20.V3/2

Y=10V3

c)

Sen 30°=3/Y

Y=3/Sen 30°

Y=3/ 1/2

Y=6

Cos 30°=X/6

X=6.Cos 30°

X=6.V3/2

X=3V3

d)

Sen 60°=8/Y

Y=8/Sen 60°

Y=8/ V3/2

Y=8.2/V3

Y=16/V3   Racionalizar

Y=16V3/3

Tan 60°=8/X

X=8/Tan 60°

X=8/V3  Racionalizar

X=8V3/3

e)

Sen 30°=X/20

X=20.Sen 30°

X=20.1/2

X=10

Tan 30°=X/Y

Y=X/Tan 30°

Y=10/V3/3

Y=10.3/V3

Y=30V3/3

Y=10V3